It is shown that every n × n matrix over a field of characteristic zero is a linear combination of three idempotent matrices. It is proved that both 2 × 2 matrices and complex 3 × 3 matrices are linear combinations of two idempotents. Also we present 3 × 3 and 4 × 4 matrices that are not linear comb
✦ LIBER ✦
Idempotency of linear combinations of an idempotent matrix and a t-potent matrix that commute
✍ Scribed by J. Benítez; N. Thome
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 162 KB
- Volume
- 403
- Category
- Article
- ISSN
- 0024-3795
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